Factorization of a class of matrix-functions with stable partial indices

Gennady Mishuris; Sergei Rogosin

doi:10.1002/mma.3825

Factorization of a class of matrix-functions with stable partial indices

Gennady Mishuris, Sergei Rogosin

Department of Mathematics

Belarusian State University

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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Abstract

A new effective method for factorization of a class of nonrational n × n matrix-functions with stable partial indices is proposed. The method is a generalization of one recently proposed by the authors, which was valid for the canonical factorization only. The class of matrices being considered is motivated by their applicability to various problems. The properties and steps of the asymptotic procedure are discussed in detail. The efficiency of the procedure is highlighted by numerical results.

Original language	English
Pages (from-to)	3791–3807
Journal	Mathematical Methods in the Applied Sciences
Volume	39
Issue number	13
Early online date	22 Feb 2016
DOIs	https://doi.org/10.1002/mma.3825
Publication status	Published - 15 Sept 2016

Keywords

factorization of matrix-functions
asymptotic method
stable partial indices

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Factorization of a class of matrix-functions with stable partial indicesAccepted author manuscript, 1.57 MB

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PY - 2016/9/15

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N2 - A new effective method for factorization of a class of nonrational n × n matrix-functions with stable partial indices is proposed. The method is a generalization of one recently proposed by the authors, which was valid for the canonical factorization only. The class of matrices being considered is motivated by their applicability to various problems. The properties and steps of the asymptotic procedure are discussed in detail. The efficiency of the procedure is highlighted by numerical results.

AB - A new effective method for factorization of a class of nonrational n × n matrix-functions with stable partial indices is proposed. The method is a generalization of one recently proposed by the authors, which was valid for the canonical factorization only. The class of matrices being considered is motivated by their applicability to various problems. The properties and steps of the asymptotic procedure are discussed in detail. The efficiency of the procedure is highlighted by numerical results.

KW - factorization of matrix-functions

KW - asymptotic method

KW - stable partial indices

UR - http://hdl.handle.net/2160/36517

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M3 - Article

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 13

ER -

Factorization of a class of matrix-functions with stable partial indices

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